log_{49}(x+9)^{2}-log_7\nthroot{5}{x+9}=1

log_{10}(x)-log_{10}(y)=2

log_{20}(3\cdot x)+log_{20}(y+1598)=4+log_{20}(6)

log_{2}(x)-log_{2}(y)=3

log_{6}(4\cdot x)+log_{6}(y+971)=5+log_{6}(4)

log_{49}(x+14)^{4}-log_7\nthroot{4}{x+14}=1

log_6(x+y)-log_6(y-9)=1

6^{x}=6^6\cdot6^{y}

log_7(x+y)-log_7(y-7)=1

7^{x}=7^3\cdot343^{y}

log_{25}(x+6)^{4}-log_5\nthroot{4}{x+6}=1

log_{25}(x+16)^{2}-log_5\nthroot{3}{x+16}=1

log_{5}(x)-log_{5}(y)=2

log_{15}(3\cdot x)+log_{15}(y+2023)=4+log_{15}(6)

log_{3}(x)-log_{3}(y)=1

log_{9}(4\cdot x)+log_{9}(y+241)=3+log_{9}(8)

log_6(x+y)-log_6(y-6)=1

6^{x}=6^1\cdot216^{y}

log_7(x+y)-log_7(y-4)=1

7^{x}=7^3\cdot343^{y}

8log6+ylog36=xlog6

xlog9-2ylog27=\frac{1}3log729

log_3(x+y)-log_3(y-2)=1

3^{x}=3^2\cdot27^{y}

log_{2}(x)-log_{2}(y)=2

log_{6}(3\cdot x)+log_{6}(y+323)=4+log_{6}(3)

5log6+ylog36=xlog6

xlog9-2ylog27=\frac{1}2log81

10log3+ylog9=xlog3

xlog25-2ylog125=\frac{1}2log625

log_{3}(x)-log_{3}(y)=3

log_{6}(3\cdot x)+log_{6}(y+47)=4+log_{6}(3)

log_{4}(x+11)^{8}-log_2\nthroot{4}{x+11}=1

log_{10}(x)-log_{10}(y)=2

log_{30}(2\cdot x)+log_{30}(y+8099)=4+log_{30}(2)

log_{3}(x)-log_{3}(y)=3

log_{9}(2\cdot x)+log_{9}(y+2184)=5+log_{9}(6)

log_{25}(x+10)^{8}-log_5\nthroot{6}{x+10}=1

log_3(x+y)-log_3(y-6)=1

3^{x}=3^5\cdot27^{y}

10log5+ylog25=xlog5

xlog4-2ylog8=\frac{1}6log4096